Math Problem Statement

Evaluate​ f(x) at the given values of x. ​f(x)equals7 xxequalsminus3​, 5

Solution

The given function is f(x)=7xf(x) = 7x, and you're asked to evaluate it for x=3x = -3 and x=5x = 5.

Let's calculate the values:

  1. For x=3x = -3: f(3)=7(3)=21f(-3) = 7(-3) = -21

  2. For x=5x = 5: f(5)=7(5)=35f(5) = 7(5) = 35

Thus, the evaluations are:

  • f(3)=21f(-3) = -21
  • f(5)=35f(5) = 35

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. What happens to f(x)f(x) if x=0x = 0?
  2. How would the function change if f(x)=7x+2f(x) = 7x + 2?
  3. What is the slope of the function f(x)=7xf(x) = 7x?
  4. How would you solve for xx if f(x)=49f(x) = 49?
  5. How do you determine if a function is linear or nonlinear?

Tip: When evaluating functions, substitute the given value of xx directly into the function and simplify step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 7x

Theorems

Basic linear function properties

Suitable Grade Level

Grades 6-8